what is the roc of the following

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Answer:

The solution is (>)

Step-by-step explanation:

It can be said this is bigger because the number 7 is bigger than 6. The language is simple like this, for example we ignore the 2, the number 75 and 60 is clearly bigger than 75. It's the same as 2.75 with 2.6. So the number is 2.75 bigger than 2.6

The amount of time he spent on the bicycle is; 2.5 hours

The formula that shows the relationship between distance, speed and time is;

distance = velocity * time  

Let W = walking time

B = bicycling time

Thus, from the given data we have;

86 = 4W + 32B      

W + B = 4    

W = 4 - B  substitute 6-B for W in 86 = 4W + 32B to get;

86 = 4(4 - B) + 32B

86 = 16 - 4B + 32B

86 = 16 + 28B

70 = 28B

B = 70/28

B = 2.5 hours on the bicycle

W = 4 - 2.5= 1.5 hours walking

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Answer:

Sorry, i dont know

Step-by-step explanation:

I dont know the answer to this question.....

Answer:

\(a_{n}\) = 6n - 2

Step-by-step explanation:

Because you can use the formula \(a_{n}\) = a1 + d (n - 1) to identify the arithmetic sequence :)

Answer:

f (Common Difference) = 6

Step-by-step explanation:

10 - 4 = 6

16 - 10 = 6

22 - 16 = 6

and so on...

Answer:

C. is your answer

Step-by-step explanation:

Answer:

3.6 x 10^3

Step-by-step explanation:

The measure of ∠STW is 119° which is an exterior angle of ΔRST.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

We also know that the measure of an exterior angle in a triangle is the sum of the two opposite interior angles.

∴ In ΔRST,

14x + 7 = 9x + 3 + 44.

14x - 9x = 47 - 7.

5x = 40.

x = 8.

So, the measure of ∠STW is 14(8) + 7.

= 119°.

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first we go 45+25=70 so now 80-70=$10.00

Did you mess up one of the answer because I did it two ways and got 10.00?

Answer:

The perimeter of a rectangle is P = 2 b + 2 h , where is the base (or width) and is the height (or length). If a rectangle is a square, with sides of length , the formula for perimeter is P s q u a r e = 2 s + 2 s = 4 s and the formula for area is A s q u a r e = s ⋅ s = s 2

Step-by-step explanation:

Answer:

18) 21

19) 18

20) 27

21) 37

22) 38

23) 88

24) 95

25) 87

26)58

27) 77

28) 85

29) 83

30) 64

31) 37

Step-by-step explanation:

Vamos a empezar por sustituyendo las expresiónes

18) 2(^2)+2(3)+3(5)+6(-1)

4+6+15-6

10+11

21

The volume of the cone is 144π units³.

The volume of a cone can be calculated as follows:

volume of a cone = 1 / 3 πr²h

where

Therefore, the height of the cone is 27 units and the radius of the cone is given as 4 units.

Let's find the volume using the formula,

r = 4 units

h = 27 units

Therefore,

volume of a cone = 1 / 3 πr²h

volume of a cone = 1 / 3 × π × 4² × 27

volume of a cone = 1 / 3 × π × 16 × 27

volume of a cone = 432 / 3 π

Therefore,

volume of a cone = 144π

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For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

Remember that the area of a circle of radius R is given by the formula:

\(A = pi*R^2\)

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

\(A = 3.14*(11ft)^2 = 379.94 ft^2\)

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

\(C = 2*pi*R\)

Then the length of the rope will be:

\(C = 2*3.14*11ft = 68.2ft\)

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Answer:

It might be  - c² or  b³ *SORRY IF IM WRONG HAVE A GOOD DAY :D)

Step-by-step explanation:

I agree with the person above ^^^

The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Answer: 1/6

Step-by-step explanation:I hope i have helped u have a wonderful day or night!

Answer:

4 bubblegum, 2 bubblegum 1 soda, 2 soda, one chip on soda.

Step-by-step explanation:

The distance the treat falls before Lola catches the treat is 3.5 feet.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distance of the treat from the ground = 5 feet.

The distance the dog jumps to catch the treat from the ground = 1.5 feet.

Now,

The distance the treat fall before Lola catches.

= 5 - 1.5

= 3.5 feet

Thus,

The treat falls for 3.5 feet.

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Answer: D) 54 inches = 1 1/2 yards

explanation: 1 1/2 yards = 54 inches.

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Yes a triangle can be formed with these values

triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle

A triangle can only be formed if the sum of the two shorter sides is greater than the longer side.

From the given values the shorter lengths are 6 and 9

so if we sum 6 + 9 = 15

And 15 > 12, which means the values can form a triangle.

In conclusion the given values 6, 9 and 12 can form a triangle.

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Answer:

  c = -41/16

Step-by-step explanation:

You want to solve the 2-step linear equation -7/3=2/3c-5/8.

The two steps for such an equation are ...

Step 1 - add the opposite of the constant on the side with the variable term.

  -7/3 +5/8 = 2/3c -5/8 +5/8

  -41/24 = 2/3c . . . . . . . . . . . . . simplify

Step 2 - multiply by the inverse of the coefficient of the variable.

  (-41/24)(3/2) = (2/3c)(3/2)

  -41/16 = c

Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).

  (-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24

  -56 = 16c -15 . . . . . . . simplify; fractions are gone

  -41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant

  -41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable

Answer:

k = 7

Step-by-step explanation:

Given that,

f(x) = x²+kx+18

We need to find the value of k that would give a remainder of 6 when f(x) is divided by (x+4).

We can find it using the remainder theorem.

Taking f(-4) as follows :

f(-4) = (-4)²+k(-4)+18 = 6

16-4k+18=6

16+18-6 = 4k

4k =28

k = 7

So, the value of k is equal to 7.

Answer:

7-12.6-2=-5

-7.6=-5

7.6-5

2.6

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.